On Finslerian Hypersurfaces Given by å-Changes
On Finslerian Hypersurfaces Given by å-Changes
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关于 å-Changes 给出的芬斯勒超曲面
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
M. Kitayama
中科院分区：
文献类型：
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作者：
M. Kitayama
柴田在1984年研究了Finsler度量的一个变换，称之为度量的a-变换（12）。对于Finsler度规的a-变换，双曲型a起着非常重要的作用。1985年M.松本研究了Finslerian超曲面理论（6）。在那里各种类型的芬斯勒超曲面被处理，他们被称为超平面的第1类，超平面的第2类和超平面的第3类。本文的目的是在一定条件下给出原Finsler超曲面与由Finsler度量的α-变换所给出的另一Finsler超曲面之间的某些关系。术语和符号参见松本的专著（8）。
In 1984 C.Shibata has dealt with a change of Finsler metric which is called a a-change of metric (12). For a a-change of Finsler metric, the dierential one- form a play very important roles. In 1985 M.Matsumoto studied the theory of Finslerian hypersurfaces (6). In there various types of Finslerian hypersurfaces are treated and they are called a hyperplane of the 1st kind, a hyperplane of the 2nd kind and a hyperplane of the 3rd kind. The purpose of the present paper is to give some relations between the orig- inal Finslerian hypersurface and another Finslerian hypersurface given by the a-change of Finsler metrics under certain conditions. The terminology and notations are referred to the Matsumoto's monograph (8).